Monte Carlo Evaluation of Non-Abelian Statistics

Details Monte Carlo Evaluation of Non-Abelian Statistics Monte Carlo Evaluation of Non-Abelian Statistics

2002-09-27

arxiv.org/abs/cond-mat/0209650v2

Phys. Rev. Lett. 90 (2003) 016802

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.90.016802

We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at $\nu=1/2$ filling factor, a known candidate for non-Abelian statistics, which appears to actually occur in nature. The non-Abelian statistics of MR quasiholes is demonstrated explicitly for the first time, confirming the results predicted by conformal field theories.

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